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1 Fuk??, Henryk Solvable Cellular Automata I12854 2023 eBook  
2 Pilipchuk, Valery N Oscillators and Oscillatory Signals from Smooth to Discontinuous I12835 2023 eBook  
3 Bountis, Tassos Chaos, Fractals and Complexity I12832 2023 eBook  
4 Luo, Albert C. J Two-Dimensional Quadratic Nonlinear Systems I12627 2023 eBook  
5 Tsallis, Constantino Introduction to Nonextensive Statistical Mechanics I12590 2023 eBook  
6 Molotnikov, Valentin Theoretical and Applied Mechanics I12566 2023 eBook  
7 Frank, Till D COVID-19 Epidemiology and Virus Dynamics I12524 2022 Book  
8 Georgiev, Georgi Yordanov Efficiency in Complex Systems I12509 2022 Book  
9 Huerta Cu??llar, Guillermo Complex Systems and Their Applications I12413 2022 Book  
10 Madenci, Erdogan Advances in Peridynamics I12400 2022 Book  
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TitleSolvable Cellular Automata : Methods and Applications
Author(s)Fuk??, Henryk
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXIX, 296 p. 41 illus., 28 illus. in color : online resource
Abstract NoteThe main focus of the book is solvability of cellular automata, that is, expressing the state of a given cell after a given number of steps by an explicit formula. The author considers solutions of two types of initial value problems for cellular automata, the deterministic one and the probabilistic one. In the first chapter the basic concepts of cellular automata theory are introduced. Deterministic initial value problem is introduced next and solutions for selected simple rules are also presented. In the following chapters various techniques for solving the deterministic problem are introduced, using elementary CA rules of increasing complexity as examples. The second part of the book introduces the concept of probability measure in the context of cellular automata and the probabilistic initial value problem for both deterministic and probabilistic rules. The book is amply illustrated with examples and applications such as the density classification problem, phase transitions in traffic models or the diffusion of innovations model. In the appendix, solution formulae (both deterministic and probabilistic) for over 60 elementary cellular automata rules are listed. Ruelle-Frobenius-Perron equations for all 88 minimal elementary cellular automata are also provided.
ISBN,Price9783031387005
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. COMPUTER SCIENCE 4. DYNAMICS 5. EBOOK - SPRINGER 6. MATHEMATICAL PHYSICS 7. NONLINEAR THEORIES 8. SYSTEM THEORY 9. Theory of Computation
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TitleOscillators and Oscillatory Signals from Smooth to Discontinuous : Geometrical, Algebraic, and Physical Nature
Author(s)Pilipchuk, Valery N
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXII, 456 p. 169 illus., 89 illus. in color : online resource
Abstract NoteThis updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clifford???s algebras, give rise to the essentially nonlinear ???quasi-impact??? methodology based on the idea of non-smooth temporal substitutions. In the years since ???Nonlinear Dynamics: Between Linear and Impact Limits,??? the previous edition of this book, was published, due to a widening area of applications, a deeper insight into the matter has emerged leading to the rudimentary algebraic view on the very existence of the complementary smooth and non-smooth base systems as those associated with two different signs of the algebraic equation j2 =?? 1. This edition further includes an overview of applications found in the literature after the publication of first edition, and new physical examples illustrating both theoretical statements and constructive analytical tools. Presents an improved picture of non-smooth temporal transformations using impact systems as a basis for various analyses; Includes new examples of recent applications for problems in energy absorption/harvesting and resonance interactions; Describes a complementarity principle with a range of applications from smooth to discontinuous oscillatory processes
ISBN,Price9783031377884
Keyword(s)1. Applied Dynamical Systems 2. CLASSICAL MECHANICS 3. DYNAMICS 4. EBOOK - SPRINGER 5. ENGINEERING 6. MECHANICS 7. Mechanics, Applied 8. Multibody systems 9. Multibody Systems and Mechanical Vibrations 10. NONLINEAR THEORIES 11. Technology and Engineering 12. VIBRATION
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TitleChaos, Fractals and Complexity
Author(s)Bountis, Tassos;Vallianatos, Filippos;Provata, Astero;Kugiumtzis, Dimitris;Kominis, Yannis
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXXV, 374 p. 102 illus., 85 illus. in color : online resource
Abstract NoteThis volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School ???Dynamical Systems and Complexity???, July 18 ??? 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world
ISBN,Price9783031374043
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. Computational neuroscience 4. DYNAMICS 5. EBOOK - SPRINGER 6. GEOMETRY 7. NONLINEAR THEORIES 8. SYSTEM THEORY
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TitleTwo-Dimensional Quadratic Nonlinear Systems : Volume I: Univariate Vector Fields
Author(s)Luo, Albert C. J
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXIII, 685 p. 121 illus., 84 illus. in color : online resource
Abstract NoteThis book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert???s sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering
ISBN,Price9789811678738
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. Control and Systems Theory 4. Control engineering 5. DIFFERENTIAL EQUATIONS 6. DYNAMICAL SYSTEMS 7. DYNAMICS 8. EBOOK - SPRINGER 9. NONLINEAR THEORIES 10. SYSTEM THEORY
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TitleIntroduction to Nonextensive Statistical Mechanics : Approaching a Complex World
Author(s)Tsallis, Constantino
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXVII, 569 p. 372 illus., 208 illus. in color : online resource
Abstract NoteMetaphors, generalizations and unifications are natural and desirable ingredients of the evolution of scientific theories and concepts. Physics in particular has walked along these paths since its very beginning. This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics. Conceived nearly 150 years ago by Maxwell, Boltzmann and Gibbs, the BG theory, one of the greatest monuments of contemporary physics, exhibits many impressive successes in physics, chemistry, mathematics, and computational sciences. Presently, several thousands of publications by scientists around the world have been dedicated to its nonextensive generalization. A variety of applications have emerged in complex systems and its mathematical grounding is by now well advanced. Since the first edition release thirteen years ago, there has been a vast amount of new results in the field, all of which have been incorporated in thiscomprehensive second edition. Heavily revised and updated with new sections and figures, the second edition remains the go-to text on the subject. A pedagogical introduction to the BG theory concepts and their generalizations ??? nonlinear dynamics, extensivity of the nonadditive entropy, global correlations, generalization of the standard CLT???s, complex networks, among others ??? is presented in this book, as well as a selection of paradigmatic applications in various sciences together with diversified experimental verifications of some of its predictions. Introduction to Nonextensive Statistical Mechanics is suitable for students and researchers with an interest in complex systems and statistical physics
ISBN,Price9783030795696
Keyword(s)1. Applied Dynamical Systems 2. ASTROPHYSICS 3. COMPLEX SYSTEMS 4. DYNAMICS 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. NONLINEAR THEORIES 9. SYSTEM THEORY 10. Theoretical, Mathematical and Computational Physics 11. THERMODYNAMICS
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TitleTheoretical and Applied Mechanics
Author(s)Molotnikov, Valentin;Molotnikova, Antonina
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXXVIII, 684 p. 335 illus., 15 illus. in color : online resource
Abstract NoteThis textbook summarizes the course of engineering mechanics, designed for one or two semesters, at the undergraduate or graduate level for a range of academic majors. The book covers all the main components of the discipline including: Theoretical Mechanics, Theory of Mechanisms and Machines, Resistance of Materials, Machine Parts and Design Basic; and Interchangeability, Standardization, and Technical Measurements. It can also be used by students of other technical areas in to achieve competence in each of the listed disciplines. The concise presentation facilitates concentration on the most important elements of the concepts presented while also outlining the current state of mechanics, demonstrating engineering applications using various computer packages (MathCad, CosmosWorks, Inkscape, AutoCad), and updating data on engineering materials. Examples of both simple and complex engineering calculations are given at the end of each chapter along with self-assessment questions. Presents the subject with a gradually increasing complexity; Reinforces key concepts with control questions and test items at the end of each chapter; Includes applications from various industries (mechanical engineering, construction) along with a detailed bibliography
ISBN,Price9783031093128
Keyword(s)1. Applied Dynamical Systems 2. CLASSICAL MECHANICS 3. CONTINUUM MECHANICS 4. DYNAMICS 5. EBOOK - SPRINGER 6. ENGINEERING DESIGN 7. ENGINEERING MECHANICS 8. Machinery 9. Machinery and Machine Elements 10. MECHANICS 11. Mechanics, Applied 12. NONLINEAR THEORIES
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7.     
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TitleCOVID-19 Epidemiology and Virus Dynamics : Nonlinear Physics and Mathematical Modeling
Author(s)Frank, Till D
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXIV, 355 p. 91 illus : online resource
Abstract NoteThis book addresses the COVID-19 pandemic from a quantitative perspective based on mathematical models and methods largely used in nonlinear physics. It aims to study COVID-19 epidemics in countries and SARS-CoV-2 infections in individuals from the nonlinear physics perspective and to model explicitly COVID-19 data observed in countries and virus load data observed in COVID-19 patients. The first part of this book provides a short technical introduction into amplitude spaces given by eigenvalues, eigenvectors, and amplitudes.In the second part of the book, mathematical models of epidemiology are introduced such as the SIR and SEIR models and applied to describe COVID-19 epidemics in various countries around the world. In the third part of the book, virus dynamics models are considered and applied to infections in COVID-19 patients. This book is written for researchers, modellers, and graduate students in physics and medicine, epidemiology and virology, biology, applied mathematics, and computer sciences. This book identifies the relevant mechanisms behind past COVID-19 outbreaks and in doing so can help efforts to stop future COVID-19 outbreaks and other epidemic outbreaks. Likewise, this book points out the physics underlying SARS-CoV-2 infections in patients and in doing so supports a physics perspective to address human immune reactions to SARS-CoV-2 infections and similar virus infections
ISBN,Price9783030971786
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. Epidemiology 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. NONLINEAR THEORIES 10. Public health 11. SYSTEM THEORY
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TitleEfficiency in Complex Systems : Self-Organization Towards Increased Efficiency
Author(s)Georgiev, Georgi Yordanov;Shokrollahi-Far, Mahmoud
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXI, 157 p. 12 illus., 5 illus. in color : online resource
Abstract NoteThis book uses new ideas and language for understanding how self-organization and complexity trend toward increased efficiency. Different measures for efficiency from multiple disciplines are used to probe the ones that provide the most insight. One major goal is to seek a common framework to trace the increase of efficiency as a measure of the level of organization and evolutionary stage of a complex system. The chapters come from a satellite meeting hosted at the Conference on Complex Systems, in Cancun, 2017. The contributions will be peer-reviewed and contributors from outside the conference will be invited to submit chapters to ensure full coverage of the topics. This text will appeal to students and researchers working on complex systems and efficiency
ISBN,Price9783030692889
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. COMPUTER SCIENCE 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. GEOGRAPHY 8. Mathematical Modeling and Industrial Mathematics 9. MATHEMATICAL MODELS 10. NONLINEAR THEORIES 11. SYSTEM THEORY
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9.     
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TitleComplex Systems and Their Applications : Second International Conference (EDIESCA 2021)
Author(s)Huerta Cu??llar, Guillermo;Campos Cant??n, Eric;Tlelo-Cuautle, Esteban
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionX, 269 p. 149 illus., 129 illus. in color : online resource
Abstract NoteThis book is a compilation of scientific articles written by recognized researchers, and select students, participating in the Second Conference on the Study of Complex Systems and their Applications (EDIESCA 2021). EDIESCA 2021 arose from the need for academic and research groups that carry out this scientific research to disseminate their results internationally. The study and characterization of systems with non-linear and/or chaotic behavior has been of great interest to researchers around the world, for which many important results have been obtained with various applications. The dynamic study of chaotic oscillators of different models, such as R??ssler, Lorenz, and Chua, has generated important advances in understanding of chemical reactions, meteorological behavior, design of electronic devices, and other applications. Topics at the event included applications for communications systems by masking techniques, financial behavior, networks analysis, nonlinear lasers, numerical modeling, electronic design, and other interesting topics in the area of complex systems. Additionally, there are results on numerical simulation and electronic designs to generate complex dynamic behaviors
ISBN,Price9783031024726
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ELECTRONIC CIRCUIT DESIGN 7. Electronics Design and Verification 8. ENGINEERING DESIGN 9. ENGINEERING MATHEMATICS 10. Engineering???Data processing 11. Mathematical and Computational Engineering Applications 12. Mechanics, Applied 13. Multibody systems 14. Multibody Systems and Mechanical Vibrations 15. NONLINEAR THEORIES 16. SYSTEM THEORY 17. VIBRATION
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TitleAdvances in Peridynamics
Author(s)Madenci, Erdogan;Roy, Pranesh;Behera, Deepak
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXVI, 421 p. 240 illus., 234 illus. in color : online resource
Abstract NoteThis book presents recent improvements in peridynamic modeling of structures. It provides sufficient theory and numerical implementation helpful to both new and existing researchers in the field. The main focus of the book is on the non-ordinary state-based (NOSB) peridynamics (PD) and its applications for performing finite deformation. It presents the framework for modeling high stretch polymers, viscoelastic materials, thermoelasticity, plasticity, and creep. It provides a systematic derivation for dimensionally reduced structures such as axisymmetric structures and beams. Also, it presents a novel approach to impose boundary conditions without suffering from displacement kinks near the boundary. Furthermore, it presents refinements to bond-based PD model by including rotation kinematics for modeling isotropic and composite materials. Moreover, it presents a PD ??? FEM coupling framework in ANSYS based on principle for virtual work. Lastly, it presents an application of neural networks in the peridynamic (PINN) framework. Sample codes are provided for readers to develop hands-on experience on peridynamic modeling. Describes new developments in peridynamics and their applications in the presence of material and geometric nonlinearity; Describes an approach to seamlessly couple PD with FE; Introduces the use of the neural network in the PD framework to solve engineering problems; Provides theory and numerical examples for researchers and students to self-study and apply in their research (Codes are provided as supplementary material); Provides theoretical development and numerical examples suitable for graduate courses
ISBN,Price9783030978587
Keyword(s)1. Applied Dynamical Systems 2. DYNAMICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. ENGINEERING MECHANICS 7. MACHINE LEARNING 8. MATHEMATICAL PHYSICS 9. Mechanics, Applied 10. NONLINEAR THEORIES
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